Fraction of collimated light transmitted through a path of length
path_length in a medium with attenuation coefficient:
\(T = e^{-c\,\ell}\) (Johnsen 2012, ch. 4). The fraction absorbed
(or attenuated) is \(1 - T\); note that absorbances add over stacked paths
while transmittances multiply.
Usage
transmittance(coefficient, path_length)
Arguments
- coefficient
Attenuation (or absorption) coefficient (1/length).
Vectorised.
- path_length
Path length in the same length unit. Vectorised.
Value
Transmittance (0-1).
References
Johnsen S (2012) The Optics of Life. Princeton University Press, ch. 4.
Examples
transmittance(coefficient = 0.15, path_length = 10)
#> [1] 0.2231302
1 - transmittance(0.064, 10) # hatchetfish rod: ~47% absorbed
#> [1] 0.4727076